GCF of 5100/328, 2137/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5100/328, 2137/320 i.e 1/13120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5100/328, 2137/320.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5100/328,2137/320?
Given fractions are 5100/328,2137/320
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5100/328,2137/320, numerators are 5100,2137
Denominators are 328,320
The GCF of 5100,2137 is 1 .
LCM of 328,320 is 13120.
The greatest common factor of 5100/328,2137/320 = [GCF of 5100,2137]/[LCM of 328,320]= 1/13120
Therefore, the GCF of 5100/328,2137/320 is 1/13120.
To find the highest common factor of 5100,2137, we have to find the factors of both numbers and list the highest common factor.
The factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100
The factors of 2137 are 1, 2137
The HCF of 5100,2137 is 1.
Lets's calculate GCF of 5100,2137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5100,2137 By Matching Biggest Common Factor Method
Now, list down the factors of 5100
:1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100
Now, list down the factors of 2137
:1,2137
Greatest Common Factor
We found the factors 5100,2137 . The biggest common factor number is the GCF number.
So the greatest common factor 5100,2137 is 1.
Lets's calculate LCM of 328,320
| 2 | 328, 320 |
| 2 | 164, 160 |
| 2 | 82, 80 |
| 41, 40 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 40 = 13120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13120
Therefore, the GCF of Fractions 5100/328,2137/320 is 1/13120
Least Common Multiple of 328,320 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 328,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,320) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(328,320) x common factors =8 x 1 = 8
LCM(328,320) = ( 328 × 320 ) / 8
LCM(328,320) = 104960 / 8
LCM(328,320) = 13120
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FAQs on GCF of Fractions of 5100/328, 2137/320
1. What is the HCF of 5100,2137?
The HCF of 5100,2137 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5100/328, 2137/320?
Answer: GCF of Numerators as per given numbers 5100/328, 2137/320 is
GCF of Numerators i.e. for 5100,2137 is 1
LCM of denominators i.e. for 328,320 is 13120.
Thus, GCF of Fractions is 1/13120.Finally, GCF of Fractions for 5100/328, 2137/320 is 1/13120.